31001310221213 has 2 divisors, whose sum is σ = 31001310221214. Its totient is φ = 31001310221212.

The previous prime is 31001310221099. The next prime is 31001310221237. The reversal of 31001310221213 is 31212201310013.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30922251965284 + 79058255929 = 5560778^2 + 281173^2 .

It is a cyclic number.

It is not a de Polignac number, because 31001310221213 - 2¹² = 31001310217117 is a prime.

It is a super-2 number, since 2×31001310221213² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31001310221513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500655110606 + 15500655110607.

It is an arithmetic number, because the mean of its divisors is an integer number (15500655110607).

Almost surely, 2^{31001310221213} is an apocalyptic number.

It is an amenable number.

31001310221213 is a deficient number, since it is larger than the sum of its proper divisors (1).

31001310221213 is an equidigital number, since it uses as much as digits as its factorization.

31001310221213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 31001310221213 its reverse (31212201310013), we get a palindrome (62213511531226).

The spelling of 31001310221213 in words is "thirty-one trillion, one billion, three hundred ten million, two hundred twenty-one thousand, two hundred thirteen".